1005055008 has 48 divisors (see below), whose sum is σ = 2777130720. Its totient is φ = 317385216.

The previous prime is 1005054949. The next prime is 1005055033. The reversal of 1005055008 is 8005505001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 273685 + ... + 277332.

It is an arithmetic number, because the mean of its divisors is an integer number (57856890).

Almost surely, 2^1005055008 is an apocalyptic number.

It is an amenable number.

1005055008 is an abundant number, since it is smaller than the sum of its proper divisors (1772075712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1005055008 is a wasteful number, since it uses less digits than its factorization.

1005055008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551049 (or 551041 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

The square root of 1005055008 is about 31702.6025430090. The cubic root of 1005055008 is about 1001.6821713794.

The spelling of 1005055008 in words is "one billion, five million, fifty-five thousand, eight".